| Base | Representation |
|---|---|
| bin | 1011101101100110111… |
| … | …0000010011100011000 |
| 3 | 201020101110020002120020 |
| 4 | 2323121232002130120 |
| 5 | 11244100113020440 |
| 6 | 232234553030440 |
| 7 | 20352310102344 |
| oct | 2733156023430 |
| 9 | 636343202506 |
| 10 | 201221220120 |
| 11 | 78379150a28 |
| 12 | 32bb86b5420 |
| 13 | 15c8a33322b |
| 14 | 9a4c376624 |
| 15 | 537a7a23d0 |
| hex | 2ed9b82718 |
201221220120 has 128 divisors (see below), whose sum is σ = 642869058240. Its totient is φ = 50210570240.
The previous prime is 201221220113. The next prime is 201221220121. The reversal of 201221220120 is 21022122102.
201221220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 201221220120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201221220121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67840 + ... + 638000.
Almost surely, 2201221220120 is an apocalyptic number.
201221220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 201221220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321434529120).
201221220120 is an abundant number, since it is smaller than the sum of its proper divisors (441647838120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201221220120 is a wasteful number, since it uses less digits than its factorization.
201221220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 570365 (or 570361 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 201221220120 its reverse (21022122102), we get a palindrome (222243342222).
The spelling of 201221220120 in words is "two hundred one billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty".
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